11358680 has 32 divisors (see below), whose sum is σ = 25995600. Its totient is φ = 4465536.

The previous prime is 11358649. The next prime is 11358689. The reversal of 11358680 is 8685311.

11358680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11358680² = 258039222684800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11358689) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47 + ... + 4766.

Almost surely, 2^11358680 is an apocalyptic number.

11358680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11358680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12997800).

11358680 is an abundant number, since it is smaller than the sum of its proper divisors (14636920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11358680 is a wasteful number, since it uses less digits than its factorization.

11358680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4883 (or 4879 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 32.

The square root of 11358680 is about 3370.2640846082. The cubic root of 11358680 is about 224.7894656141.

The spelling of 11358680 in words is "eleven million, three hundred fifty-eight thousand, six hundred eighty".